Physics

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You are sitting in your car at a traffic light at the foot of a 200 ft long ramp that will take you onto the interstate. If your cat can at best accelerate at 5 m/s^2 and the traffic on the interstate is moving at 65mph. will the ramp be long enough for you to reach that speed and thus safely merge with the traffic?

200ft=60.96m
a=5m/s^2
v=65mph=20.95m/s
v_0=0m/s

would I use delta d=(v^2 - v_0^2)/(2a)
60.96=29.05^2-0/(2*5)
60.96=84.39
so thus the answer would be no the car would not safely merge with the traffic. Is this correct? Thanks in advance for your help.

  • Physics -

    correct.

  • Physics -

    that is one fast-moving cat.

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